The S-matrix of String Bound States

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dc.creatorArutyunov, Gleb
dc.creatorFrolov, Sergey
dc.date2008-03-31
dc.date.accessioned2026-07-07T11:49:27Z
dc.date.available2026-07-07T11:49:27Z
dc.descriptionWe find the S-matrix which describes the scattering of two-particle bound states of the light-cone string sigma model on AdS5xS5. We realize the M-particle bound state representation of the centrally extended su(2|2) algebra on the space of homogeneous (super)symmetric polynomials of degree M depending on two bosonic and two fermionic variables. The scattering matrix S^{MN} of M- and N-particle bound states is a differential operator of degree M+N acting on the product of the corresponding polynomials. We require this operator to obey the invariance condition and the Yang-Baxter equation, and we determine it for the two cases M=1,N=2 and M=N=2. We show that the S-matrices found satisfy generalized physical unitarity, CPT invariance, parity transformation rule and crossing symmetry. Although the dressing factor as a function of four parameters x_1^+,x_1^-,x_2^+,x_2^- is universal for scattering of any bound states, it obeys a crossing symmetry equation which depends on M and N.
dc.description65 pages, 2 figures, Latex
dc.identifierhttps://arxiv.org/abs/0803.4323
dc.identifierhttp://arxiv.org/abs/0803.4323
dc.identifierNucl.Phys.B804:90-143,2008
dc.identifierdoi:10.1016/j.nuclphysb.2008.06.005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203239
dc.subjectHigh Energy Physics - Theory
dc.titleThe S-matrix of String Bound States
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